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SOLUTION OF POPULATION BALANCE EQUATIONS IN EMULSION POLYMERIZATION USING METHOD OF MOMENTS
Authors:Ehsan Vafa  Hossein Abedini
Affiliation:1. Department of Chemical and Petroleum Engineering , Sharif University of Technology , Tehran , Iran;2. Department of Polymerization Engineering , Iranian Polymer and Petrochemical Institute , Tehran , Iran
Abstract:In this work, the method of moments is used for solution of population balance equations appearing in modeling of emulsion polymerization (EP). The zero-one model without coagulation effect and the pseudo-bulk model including coagulation effect are investigated as two common approaches for modeling EP processes. The fixed quadrature method is used to close the set of moment equations, and the maximum entropy approach is applied to reconstruct the particle size distribution from a finite number of its moments. Comparing the results with those obtained by the high-precision finite volume technique indicates that, despite the low computational load of the moment method, it has an acceptable accuracy. These features support use of the moment technique for other applications such as on-line control or optimization in particulate processes.
Keywords:Closuring technique  Emulsion polymerization  Maximum entropy approach  Method of moments  Population balance equation
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